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Finding the Fourth Proportional to 157,123.51, 216,828.61 and 85,502.31

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Solution

The fourth proportional to 157,123.51, 216,828.61 and 85,502.31 is: 117,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.51 : 216,828.61 = 85,502.31 : x
  2. Step 2: Convert to fraction form
    157,123.51/216,828.61 = 85,502.31/x
  3. Step 3: Cross multiply
    157,123.51x = 216,828.61 × 85,502.31
  4. Step 4: Simplify right side
    157,123.51x = 18,539,347,029.09
  5. Step 5: Solve for x
    x = 18,539,347,029.09/157,123.51
  6. Step 6: Final answer
    x = 117,992.19

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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.