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Finding the Fourth Proportional to 78,138.24, 107,831.28 and 42,328.22

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Solution

The fourth proportional to 78,138.24, 107,831.28 and 42,328.22 is: 58,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.24 : 107,831.28 = 42,328.22 : x
  2. Step 2: Convert to fraction form
    78,138.24/107,831.28 = 42,328.22/x
  3. Step 3: Cross multiply
    78,138.24x = 107,831.28 × 42,328.22
  4. Step 4: Simplify right side
    78,138.24x = 4,564,306,368.85
  5. Step 5: Solve for x
    x = 4,564,306,368.85/78,138.24
  6. Step 6: Final answer
    x = 58,413.22

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1.5x scale

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.