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Finding the Fourth Proportional to 65,292, 97,939.08 and 28,356

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Solution

The fourth proportional to 65,292, 97,939.08 and 28,356 is: 42,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292 : 97,939.08 = 28,356 : x
  2. Step 2: Convert to fraction form
    65,292/97,939.08 = 28,356/x
  3. Step 3: Cross multiply
    65,292x = 97,939.08 × 28,356
  4. Step 4: Simplify right side
    65,292x = 2,777,160,552.48
  5. Step 5: Solve for x
    x = 2,777,160,552.48/65,292
  6. Step 6: Final answer
    x = 42,534.47

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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.