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Finding the Fourth Proportional to 102,981.81, 142,117.07 and 58,269.81

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Solution

The fourth proportional to 102,981.81, 142,117.07 and 58,269.81 is: 80,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,981.81 : 142,117.07 = 58,269.81 : x
  2. Step 2: Convert to fraction form
    102,981.81/142,117.07 = 58,269.81/x
  3. Step 3: Cross multiply
    102,981.81x = 142,117.07 × 58,269.81
  4. Step 4: Simplify right side
    102,981.81x = 8,281,134,666.66
  5. Step 5: Solve for x
    x = 8,281,134,666.66/102,981.81
  6. Step 6: Final answer
    x = 80,413.57

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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.