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Finding the Fourth Proportional to 101,312, 152,012.52 and 53,915.92

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Solution

The fourth proportional to 101,312, 152,012.52 and 53,915.92 is: 80,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,312 : 152,012.52 = 53,915.92 : x
  2. Step 2: Convert to fraction form
    101,312/152,012.52 = 53,915.92/x
  3. Step 3: Cross multiply
    101,312x = 152,012.52 × 53,915.92
  4. Step 4: Simplify right side
    101,312x = 8,195,894,867.32
  5. Step 5: Solve for x
    x = 8,195,894,867.32/101,312
  6. Step 6: Final answer
    x = 80,897.57

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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.