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Finding the Fourth Proportional to 49,775.40, 74,663.10 and 47,807.10

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Solution

The fourth proportional to 49,775.40, 74,663.10 and 47,807.10 is: 71,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775.40 : 74,663.10 = 47,807.10 : x
  2. Step 2: Convert to fraction form
    49,775.40/74,663.10 = 47,807.10/x
  3. Step 3: Cross multiply
    49,775.40x = 74,663.10 × 47,807.10
  4. Step 4: Simplify right side
    49,775.40x = 3,569,426,288.01
  5. Step 5: Solve for x
    x = 3,569,426,288.01/49,775.40
  6. Step 6: Final answer
    x = 71,710.65

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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.