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Finding the Fourth Proportional to 166,506.57, 249,754.32 and 77,637.78

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Solution

The fourth proportional to 166,506.57, 249,754.32 and 77,637.78 is: 116,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,506.57 : 249,754.32 = 77,637.78 : x
  2. Step 2: Convert to fraction form
    166,506.57/249,754.32 = 77,637.78/x
  3. Step 3: Cross multiply
    166,506.57x = 249,754.32 × 77,637.78
  4. Step 4: Simplify right side
    166,506.57x = 19,390,370,950.21
  5. Step 5: Solve for x
    x = 19,390,370,950.21/166,506.57
  6. Step 6: Final answer
    x = 116,454.09

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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.