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Finding the Fourth Proportional to 245,713.47, 368,569.90 and 77,248.50

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Solution

The fourth proportional to 245,713.47, 368,569.90 and 77,248.50 is: 115,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,713.47 : 368,569.90 = 77,248.50 : x
  2. Step 2: Convert to fraction form
    245,713.47/368,569.90 = 77,248.50/x
  3. Step 3: Cross multiply
    245,713.47x = 368,569.90 × 77,248.50
  4. Step 4: Simplify right side
    245,713.47x = 28,471,471,533.91
  5. Step 5: Solve for x
    x = 28,471,471,533.91/245,713.47
  6. Step 6: Final answer
    x = 115,872.65

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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.