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Finding the Fourth Proportional to 77,345.28, 106,743.02 and 43,353.23

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Solution

The fourth proportional to 77,345.28, 106,743.02 and 43,353.23 is: 59,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,345.28 : 106,743.02 = 43,353.23 : x
  2. Step 2: Convert to fraction form
    77,345.28/106,743.02 = 43,353.23/x
  3. Step 3: Cross multiply
    77,345.28x = 106,743.02 × 43,353.23
  4. Step 4: Simplify right side
    77,345.28x = 4,627,653,946.47
  5. Step 5: Solve for x
    x = 4,627,653,946.47/77,345.28
  6. Step 6: Final answer
    x = 59,831.11

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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.