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Finding the Fourth Proportional to 103,312.61, 154,948.49 and 28,413.42

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Solution

The fourth proportional to 103,312.61, 154,948.49 and 28,413.42 is: 42,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,312.61 : 154,948.49 = 28,413.42 : x
  2. Step 2: Convert to fraction form
    103,312.61/154,948.49 = 28,413.42/x
  3. Step 3: Cross multiply
    103,312.61x = 154,948.49 × 28,413.42
  4. Step 4: Simplify right side
    103,312.61x = 4,402,616,524.74
  5. Step 5: Solve for x
    x = 4,402,616,524.74/103,312.61
  6. Step 6: Final answer
    x = 42,614.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.