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Finding the Fourth Proportional to 103,457, 142,770.80 and 58,745

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Solution

The fourth proportional to 103,457, 142,770.80 and 58,745 is: 81,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457 : 142,770.80 = 58,745 : x
  2. Step 2: Convert to fraction form
    103,457/142,770.80 = 58,745/x
  3. Step 3: Cross multiply
    103,457x = 142,770.80 × 58,745
  4. Step 4: Simplify right side
    103,457x = 8,387,070,646.00
  5. Step 5: Solve for x
    x = 8,387,070,646.00/103,457
  6. Step 6: Final answer
    x = 81,068.18

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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.