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Finding the Fourth Proportional to 102,410.64, 153,641.88 and 43,215.84

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Solution

The fourth proportional to 102,410.64, 153,641.88 and 43,215.84 is: 64,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410.64 : 153,641.88 = 43,215.84 : x
  2. Step 2: Convert to fraction form
    102,410.64/153,641.88 = 43,215.84/x
  3. Step 3: Cross multiply
    102,410.64x = 153,641.88 × 43,215.84
  4. Step 4: Simplify right side
    102,410.64x = 6,639,762,903.38
  5. Step 5: Solve for x
    x = 6,639,762,903.38/102,410.64
  6. Step 6: Final answer
    x = 64,834.70

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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.