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Finding the Fourth Proportional to 219,248.66, 328,875.47 and 77,098.16

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Solution

The fourth proportional to 219,248.66, 328,875.47 and 77,098.16 is: 115,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,248.66 : 328,875.47 = 77,098.16 : x
  2. Step 2: Convert to fraction form
    219,248.66/328,875.47 = 77,098.16/x
  3. Step 3: Cross multiply
    219,248.66x = 328,875.47 × 77,098.16
  4. Step 4: Simplify right side
    219,248.66x = 25,355,693,606.14
  5. Step 5: Solve for x
    x = 25,355,693,606.14/219,248.66
  6. Step 6: Final answer
    x = 115,648.11

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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.