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Finding the Fourth Proportional to 52,130.81, 71,981.93 and 48,150.47

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Solution

The fourth proportional to 52,130.81, 71,981.93 and 48,150.47 is: 66,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.81 : 71,981.93 = 48,150.47 : x
  2. Step 2: Convert to fraction form
    52,130.81/71,981.93 = 48,150.47/x
  3. Step 3: Cross multiply
    52,130.81x = 71,981.93 × 48,150.47
  4. Step 4: Simplify right side
    52,130.81x = 3,465,963,761.01
  5. Step 5: Solve for x
    x = 3,465,963,761.01/52,130.81
  6. Step 6: Final answer
    x = 66,485.90

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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.