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Finding the Fourth Proportional to 157,058, 216,740.04 and 86,402

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Solution

The fourth proportional to 157,058, 216,740.04 and 86,402 is: 119,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,058 : 216,740.04 = 86,402 : x
  2. Step 2: Convert to fraction form
    157,058/216,740.04 = 86,402/x
  3. Step 3: Cross multiply
    157,058x = 216,740.04 × 86,402
  4. Step 4: Simplify right side
    157,058x = 18,726,772,936.08
  5. Step 5: Solve for x
    x = 18,726,772,936.08/157,058
  6. Step 6: Final answer
    x = 119,234.76

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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.