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Finding the Fourth Proportional to 75,894, 104,734.80 and 42,360

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Solution

The fourth proportional to 75,894, 104,734.80 and 42,360 is: 58,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894 : 104,734.80 = 42,360 : x
  2. Step 2: Convert to fraction form
    75,894/104,734.80 = 42,360/x
  3. Step 3: Cross multiply
    75,894x = 104,734.80 × 42,360
  4. Step 4: Simplify right side
    75,894x = 4,436,566,128
  5. Step 5: Solve for x
    x = 4,436,566,128/75,894
  6. Step 6: Final answer
    x = 58,457.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.