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Finding the Fourth Proportional to 166,374, 249,727.45 and 77,689.93

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Solution

The fourth proportional to 166,374, 249,727.45 and 77,689.93 is: 116,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,374 : 249,727.45 = 77,689.93 : x
  2. Step 2: Convert to fraction form
    166,374/249,727.45 = 77,689.93/x
  3. Step 3: Cross multiply
    166,374x = 249,727.45 × 77,689.93
  4. Step 4: Simplify right side
    166,374x = 19,401,308,109.58
  5. Step 5: Solve for x
    x = 19,401,308,109.58/166,374
  6. Step 6: Final answer
    x = 116,612.62

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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.