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Finding the Fourth Proportional to 166,505.90, 249,795.76 and 77,710.98

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Solution

The fourth proportional to 166,505.90, 249,795.76 and 77,710.98 is: 116,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,505.90 : 249,795.76 = 77,710.98 : x
  2. Step 2: Convert to fraction form
    166,505.90/249,795.76 = 77,710.98/x
  3. Step 3: Cross multiply
    166,505.90x = 249,795.76 × 77,710.98
  4. Step 4: Simplify right side
    166,505.90x = 19,411,873,309.44
  5. Step 5: Solve for x
    x = 19,411,873,309.44/166,505.90
  6. Step 6: Final answer
    x = 116,583.70

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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.