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Finding the Fourth Proportional to 100,838.98, 139,152.51 and 55,508.11

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Solution

The fourth proportional to 100,838.98, 139,152.51 and 55,508.11 is: 76,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.98 : 139,152.51 = 55,508.11 : x
  2. Step 2: Convert to fraction form
    100,838.98/139,152.51 = 55,508.11/x
  3. Step 3: Cross multiply
    100,838.98x = 139,152.51 × 55,508.11
  4. Step 4: Simplify right side
    100,838.98x = 7,724,092,831.86
  5. Step 5: Solve for x
    x = 7,724,092,831.86/100,838.98
  6. Step 6: Final answer
    x = 76,598.28

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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.