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Finding the Fourth Proportional to 64,780.80, 97,214.40 and 29,702.40

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Solution

The fourth proportional to 64,780.80, 97,214.40 and 29,702.40 is: 44,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,780.80 : 97,214.40 = 29,702.40 : x
  2. Step 2: Convert to fraction form
    64,780.80/97,214.40 = 29,702.40/x
  3. Step 3: Cross multiply
    64,780.80x = 97,214.40 × 29,702.40
  4. Step 4: Simplify right side
    64,780.80x = 2,887,500,994.56
  5. Step 5: Solve for x
    x = 2,887,500,994.56/64,780.80
  6. Step 6: Final answer
    x = 44,573.41

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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.