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Finding the Fourth Proportional to 47,803.92, 71,681.40 and 28,088.40

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Solution

The fourth proportional to 47,803.92, 71,681.40 and 28,088.40 is: 42,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,803.92 : 71,681.40 = 28,088.40 : x
  2. Step 2: Convert to fraction form
    47,803.92/71,681.40 = 28,088.40/x
  3. Step 3: Cross multiply
    47,803.92x = 71,681.40 × 28,088.40
  4. Step 4: Simplify right side
    47,803.92x = 2,013,415,835.76
  5. Step 5: Solve for x
    x = 2,013,415,835.76/47,803.92
  6. Step 6: Final answer
    x = 42,118.22

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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.