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Finding the Fourth Proportional to 157,132, 216,842.16 and 90,064

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Solution

The fourth proportional to 157,132, 216,842.16 and 90,064 is: 124,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,132 : 216,842.16 = 90,064 : x
  2. Step 2: Convert to fraction form
    157,132/216,842.16 = 90,064/x
  3. Step 3: Cross multiply
    157,132x = 216,842.16 × 90,064
  4. Step 4: Simplify right side
    157,132x = 19,529,672,298.24
  5. Step 5: Solve for x
    x = 19,529,672,298.24/157,132
  6. Step 6: Final answer
    x = 124,288.32

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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.