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Finding the Fourth Proportional to 157,109.95, 216,810.69 and 85,490.23

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Solution

The fourth proportional to 157,109.95, 216,810.69 and 85,490.23 is: 117,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,109.95 : 216,810.69 = 85,490.23 : x
  2. Step 2: Convert to fraction form
    157,109.95/216,810.69 = 85,490.23/x
  3. Step 3: Cross multiply
    157,109.95x = 216,810.69 × 85,490.23
  4. Step 4: Simplify right side
    157,109.95x = 18,535,195,754.56
  5. Step 5: Solve for x
    x = 18,535,195,754.56/157,109.95
  6. Step 6: Final answer
    x = 117,975.95

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1.5x scale

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.