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Finding the Fourth Proportional to 102,585.84, 153,473.88 and 77,697.60

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Solution

The fourth proportional to 102,585.84, 153,473.88 and 77,697.60 is: 116,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585.84 : 153,473.88 = 77,697.60 : x
  2. Step 2: Convert to fraction form
    102,585.84/153,473.88 = 77,697.60/x
  3. Step 3: Cross multiply
    102,585.84x = 153,473.88 × 77,697.60
  4. Step 4: Simplify right side
    102,585.84x = 11,924,552,138.69
  5. Step 5: Solve for x
    x = 11,924,552,138.69/102,585.84
  6. Step 6: Final answer
    x = 116,239.75

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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.