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Finding the Fourth Proportional to 66,495.60, 99,772.20 and 31,417.20

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Solution

The fourth proportional to 66,495.60, 99,772.20 and 31,417.20 is: 47,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,495.60 : 99,772.20 = 31,417.20 : x
  2. Step 2: Convert to fraction form
    66,495.60/99,772.20 = 31,417.20/x
  3. Step 3: Cross multiply
    66,495.60x = 99,772.20 × 31,417.20
  4. Step 4: Simplify right side
    66,495.60x = 3,134,563,161.84
  5. Step 5: Solve for x
    x = 3,134,563,161.84/66,495.60
  6. Step 6: Final answer
    x = 47,139.41

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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.