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Finding the Fourth Proportional to 75,175,998.40, 105,019,649.60 and 75,175,998.40

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Solution

The fourth proportional to 75,175,998.40, 105,019,649.60 and 75,175,998.40 is: 105,019,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175,998.40 : 105,019,649.60 = 75,175,998.40 : x
  2. Step 2: Convert to fraction form
    75,175,998.40/105,019,649.60 = 75,175,998.40/x
  3. Step 3: Cross multiply
    75,175,998.40x = 105,019,649.60 × 75,175,998.40
  4. Step 4: Simplify right side
    75,175,998.40x = 7,894,957,010,298,161
  5. Step 5: Solve for x
    x = 7,894,957,010,298,161/75,175,998.40
  6. Step 6: Final answer
    x = 105,019,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.