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Finding the Fourth Proportional to 98,684, 136,187.16 and 53,972

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Solution

The fourth proportional to 98,684, 136,187.16 and 53,972 is: 74,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,684 : 136,187.16 = 53,972 : x
  2. Step 2: Convert to fraction form
    98,684/136,187.16 = 53,972/x
  3. Step 3: Cross multiply
    98,684x = 136,187.16 × 53,972
  4. Step 4: Simplify right side
    98,684x = 7,350,293,399.52
  5. Step 5: Solve for x
    x = 7,350,293,399.52/98,684
  6. Step 6: Final answer
    x = 74,483.13

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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.