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Finding the Fourth Proportional to 219,275.76, 328,941.32 and 77,087.61

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Solution

The fourth proportional to 219,275.76, 328,941.32 and 77,087.61 is: 115,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,275.76 : 328,941.32 = 77,087.61 : x
  2. Step 2: Convert to fraction form
    219,275.76/328,941.32 = 77,087.61/x
  3. Step 3: Cross multiply
    219,275.76x = 328,941.32 × 77,087.61
  4. Step 4: Simplify right side
    219,275.76x = 25,357,299,803.61
  5. Step 5: Solve for x
    x = 25,357,299,803.61/219,275.76
  6. Step 6: Final answer
    x = 115,641.15

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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.