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Finding the Fourth Proportional to 32,019.20, 47,985.60 and 21,459.20

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Solution

The fourth proportional to 32,019.20, 47,985.60 and 21,459.20 is: 32,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.20 : 47,985.60 = 21,459.20 : x
  2. Step 2: Convert to fraction form
    32,019.20/47,985.60 = 21,459.20/x
  3. Step 3: Cross multiply
    32,019.20x = 47,985.60 × 21,459.20
  4. Step 4: Simplify right side
    32,019.20x = 1,029,732,587.52
  5. Step 5: Solve for x
    x = 1,029,732,587.52/32,019.20
  6. Step 6: Final answer
    x = 32,159.85

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1.5x scale

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.