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Finding the Fourth Proportional to 137,959.40, 190,400.87 and 77,532.59

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Solution

The fourth proportional to 137,959.40, 190,400.87 and 77,532.59 is: 107,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959.40 : 190,400.87 = 77,532.59 : x
  2. Step 2: Convert to fraction form
    137,959.40/190,400.87 = 77,532.59/x
  3. Step 3: Cross multiply
    137,959.40x = 190,400.87 × 77,532.59
  4. Step 4: Simplify right side
    137,959.40x = 14,762,271,831.18
  5. Step 5: Solve for x
    x = 14,762,271,831.18/137,959.40
  6. Step 6: Final answer
    x = 107,004.47

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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.