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Finding the Fourth Proportional to 249,609.84, 344,413.80 and 142,177.52

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Solution

The fourth proportional to 249,609.84, 344,413.80 and 142,177.52 is: 196,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,609.84 : 344,413.80 = 142,177.52 : x
  2. Step 2: Convert to fraction form
    249,609.84/344,413.80 = 142,177.52/x
  3. Step 3: Cross multiply
    249,609.84x = 344,413.80 × 142,177.52
  4. Step 4: Simplify right side
    249,609.84x = 48,967,899,937.78
  5. Step 5: Solve for x
    x = 48,967,899,937.78/249,609.84
  6. Step 6: Final answer
    x = 196,177.76

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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.