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Finding the Fourth Proportional to 64,281.60, 96,292.80 and 36,547.20

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Solution

The fourth proportional to 64,281.60, 96,292.80 and 36,547.20 is: 54,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,281.60 : 96,292.80 = 36,547.20 : x
  2. Step 2: Convert to fraction form
    64,281.60/96,292.80 = 36,547.20/x
  3. Step 3: Cross multiply
    64,281.60x = 96,292.80 × 36,547.20
  4. Step 4: Simplify right side
    64,281.60x = 3,519,232,220.16
  5. Step 5: Solve for x
    x = 3,519,232,220.16/64,281.60
  6. Step 6: Final answer
    x = 54,747.12

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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.