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Finding the Fourth Proportional to 103,720.56, 142,935.48 and 71,830.32

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Solution

The fourth proportional to 103,720.56, 142,935.48 and 71,830.32 is: 98,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720.56 : 142,935.48 = 71,830.32 : x
  2. Step 2: Convert to fraction form
    103,720.56/142,935.48 = 71,830.32/x
  3. Step 3: Cross multiply
    103,720.56x = 142,935.48 × 71,830.32
  4. Step 4: Simplify right side
    103,720.56x = 10,267,101,267.75
  5. Step 5: Solve for x
    x = 10,267,101,267.75/103,720.56
  6. Step 6: Final answer
    x = 98,988.10

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1.5x scale

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.