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Finding the Fourth Proportional to 134,551.72, 185,683.35 and 77,200.35

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Solution

The fourth proportional to 134,551.72, 185,683.35 and 77,200.35 is: 106,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,551.72 : 185,683.35 = 77,200.35 : x
  2. Step 2: Convert to fraction form
    134,551.72/185,683.35 = 77,200.35/x
  3. Step 3: Cross multiply
    134,551.72x = 185,683.35 × 77,200.35
  4. Step 4: Simplify right side
    134,551.72x = 14,334,819,609.17
  5. Step 5: Solve for x
    x = 14,334,819,609.17/134,551.72
  6. Step 6: Final answer
    x = 106,537.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.