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Finding the Fourth Proportional to 65,013.30, 89,730 and 42,071.40

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Solution

The fourth proportional to 65,013.30, 89,730 and 42,071.40 is: 58,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.30 : 89,730 = 42,071.40 : x
  2. Step 2: Convert to fraction form
    65,013.30/89,730 = 42,071.40/x
  3. Step 3: Cross multiply
    65,013.30x = 89,730 × 42,071.40
  4. Step 4: Simplify right side
    65,013.30x = 3,775,066,722
  5. Step 5: Solve for x
    x = 3,775,066,722/65,013.30
  6. Step 6: Final answer
    x = 58,066.07

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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.