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Finding the Fourth Proportional to 66,783.02, 92,223.10 and 42,951.20

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Solution

The fourth proportional to 66,783.02, 92,223.10 and 42,951.20 is: 59,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,783.02 : 92,223.10 = 42,951.20 : x
  2. Step 2: Convert to fraction form
    66,783.02/92,223.10 = 42,951.20/x
  3. Step 3: Cross multiply
    66,783.02x = 92,223.10 × 42,951.20
  4. Step 4: Simplify right side
    66,783.02x = 3,961,092,812.72
  5. Step 5: Solve for x
    x = 3,961,092,812.72/66,783.02
  6. Step 6: Final answer
    x = 59,312.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.