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Finding the Fourth Proportional to 166,473.52, 249,747.28 and 77,678.59

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Solution

The fourth proportional to 166,473.52, 249,747.28 and 77,678.59 is: 116,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,473.52 : 249,747.28 = 77,678.59 : x
  2. Step 2: Convert to fraction form
    166,473.52/249,747.28 = 77,678.59/x
  3. Step 3: Cross multiply
    166,473.52x = 249,747.28 × 77,678.59
  4. Step 4: Simplify right side
    166,473.52x = 19,400,016,566.74
  5. Step 5: Solve for x
    x = 19,400,016,566.74/166,473.52
  6. Step 6: Final answer
    x = 116,535.15

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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.