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Finding the Fourth Proportional to 65,415.90, 97,929.45 and 43,254.30

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Solution

The fourth proportional to 65,415.90, 97,929.45 and 43,254.30 is: 64,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,415.90 : 97,929.45 = 43,254.30 : x
  2. Step 2: Convert to fraction form
    65,415.90/97,929.45 = 43,254.30/x
  3. Step 3: Cross multiply
    65,415.90x = 97,929.45 × 43,254.30
  4. Step 4: Simplify right side
    65,415.90x = 4,235,869,809.14
  5. Step 5: Solve for x
    x = 4,235,869,809.14/65,415.90
  6. Step 6: Final answer
    x = 64,752.91

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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.