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Finding the Fourth Proportional to 102,097.62, 153,032.94 and 77,056.47

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Solution

The fourth proportional to 102,097.62, 153,032.94 and 77,056.47 is: 115,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.62 : 153,032.94 = 77,056.47 : x
  2. Step 2: Convert to fraction form
    102,097.62/153,032.94 = 77,056.47/x
  3. Step 3: Cross multiply
    102,097.62x = 153,032.94 × 77,056.47
  4. Step 4: Simplify right side
    102,097.62x = 11,792,178,150.12
  5. Step 5: Solve for x
    x = 11,792,178,150.12/102,097.62
  6. Step 6: Final answer
    x = 115,499.05

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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.