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Finding the Fourth Proportional to 115,602.88, 159,663.60 and 77,811.52

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Solution

The fourth proportional to 115,602.88, 159,663.60 and 77,811.52 is: 107,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,602.88 : 159,663.60 = 77,811.52 : x
  2. Step 2: Convert to fraction form
    115,602.88/159,663.60 = 77,811.52/x
  3. Step 3: Cross multiply
    115,602.88x = 159,663.60 × 77,811.52
  4. Step 4: Simplify right side
    115,602.88x = 12,423,667,404.67
  5. Step 5: Solve for x
    x = 12,423,667,404.67/115,602.88
  6. Step 6: Final answer
    x = 107,468.49

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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.