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Finding the Fourth Proportional to 157,368.95, 217,166.32 and 85,749.47

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Solution

The fourth proportional to 157,368.95, 217,166.32 and 85,749.47 is: 118,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368.95 : 217,166.32 = 85,749.47 : x
  2. Step 2: Convert to fraction form
    157,368.95/217,166.32 = 85,749.47/x
  3. Step 3: Cross multiply
    157,368.95x = 217,166.32 × 85,749.47
  4. Step 4: Simplify right side
    157,368.95x = 18,621,896,841.85
  5. Step 5: Solve for x
    x = 18,621,896,841.85/157,368.95
  6. Step 6: Final answer
    x = 118,332.73

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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.