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Finding the Fourth Proportional to 66,013.57, 98,971.15 and 39,712.16

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Solution

The fourth proportional to 66,013.57, 98,971.15 and 39,712.16 is: 59,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,013.57 : 98,971.15 = 39,712.16 : x
  2. Step 2: Convert to fraction form
    66,013.57/98,971.15 = 39,712.16/x
  3. Step 3: Cross multiply
    66,013.57x = 98,971.15 × 39,712.16
  4. Step 4: Simplify right side
    66,013.57x = 3,930,358,144.18
  5. Step 5: Solve for x
    x = 3,930,358,144.18/66,013.57
  6. Step 6: Final answer
    x = 59,538.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.