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Finding the Fourth Proportional to 65,345.92, 97,988.16 and 45,646.72

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Solution

The fourth proportional to 65,345.92, 97,988.16 and 45,646.72 is: 68,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345.92 : 97,988.16 = 45,646.72 : x
  2. Step 2: Convert to fraction form
    65,345.92/97,988.16 = 45,646.72/x
  3. Step 3: Cross multiply
    65,345.92x = 97,988.16 × 45,646.72
  4. Step 4: Simplify right side
    65,345.92x = 4,472,838,102.84
  5. Step 5: Solve for x
    x = 4,472,838,102.84/65,345.92
  6. Step 6: Final answer
    x = 68,448.62

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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.