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Finding the Fourth Proportional to 157,689.86, 236,572.45 and 52,509.74

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Solution

The fourth proportional to 157,689.86, 236,572.45 and 52,509.74 is: 78,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,689.86 : 236,572.45 = 52,509.74 : x
  2. Step 2: Convert to fraction form
    157,689.86/236,572.45 = 52,509.74/x
  3. Step 3: Cross multiply
    157,689.86x = 236,572.45 × 52,509.74
  4. Step 4: Simplify right side
    157,689.86x = 12,422,357,840.66
  5. Step 5: Solve for x
    x = 12,422,357,840.66/157,689.86
  6. Step 6: Final answer
    x = 78,777.15

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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.