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Finding the Fourth Proportional to 100,752.98, 139,039.12 and 55,430

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Solution

The fourth proportional to 100,752.98, 139,039.12 and 55,430 is: 76,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,752.98 : 139,039.12 = 55,430 : x
  2. Step 2: Convert to fraction form
    100,752.98/139,039.12 = 55,430/x
  3. Step 3: Cross multiply
    100,752.98x = 139,039.12 × 55,430
  4. Step 4: Simplify right side
    100,752.98x = 7,706,938,421.60
  5. Step 5: Solve for x
    x = 7,706,938,421.60/100,752.98
  6. Step 6: Final answer
    x = 76,493.40

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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.