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Finding the Fourth Proportional to 115,097.60, 158,859.20 and 77,349.98

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Solution

The fourth proportional to 115,097.60, 158,859.20 and 77,349.98 is: 106,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,097.60 : 158,859.20 = 77,349.98 : x
  2. Step 2: Convert to fraction form
    115,097.60/158,859.20 = 77,349.98/x
  3. Step 3: Cross multiply
    115,097.60x = 158,859.20 × 77,349.98
  4. Step 4: Simplify right side
    115,097.60x = 12,287,755,942.82
  5. Step 5: Solve for x
    x = 12,287,755,942.82/115,097.60
  6. Step 6: Final answer
    x = 106,759.45

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1.5x scale

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.