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Finding the Fourth Proportional to 101,516, 152,281.20 and 31,386.20

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Solution

The fourth proportional to 101,516, 152,281.20 and 31,386.20 is: 47,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516 : 152,281.20 = 31,386.20 : x
  2. Step 2: Convert to fraction form
    101,516/152,281.20 = 31,386.20/x
  3. Step 3: Cross multiply
    101,516x = 152,281.20 × 31,386.20
  4. Step 4: Simplify right side
    101,516x = 4,779,528,199.44
  5. Step 5: Solve for x
    x = 4,779,528,199.44/101,516
  6. Step 6: Final answer
    x = 47,081.53

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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.