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Finding the Fourth Proportional to 201,702.70, 301,897.95 and 157,087.90

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Solution

The fourth proportional to 201,702.70, 301,897.95 and 157,087.90 is: 235,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.70 : 301,897.95 = 157,087.90 : x
  2. Step 2: Convert to fraction form
    201,702.70/301,897.95 = 157,087.90/x
  3. Step 3: Cross multiply
    201,702.70x = 301,897.95 × 157,087.90
  4. Step 4: Simplify right side
    201,702.70x = 47,424,514,979.81
  5. Step 5: Solve for x
    x = 47,424,514,979.81/201,702.70
  6. Step 6: Final answer
    x = 235,120.87

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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.