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Finding the Fourth Proportional to 249,609, 374,413.50 and 83,397

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Solution

The fourth proportional to 249,609, 374,413.50 and 83,397 is: 125,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,609 : 374,413.50 = 83,397 : x
  2. Step 2: Convert to fraction form
    249,609/374,413.50 = 83,397/x
  3. Step 3: Cross multiply
    249,609x = 374,413.50 × 83,397
  4. Step 4: Simplify right side
    249,609x = 31,224,962,659.50
  5. Step 5: Solve for x
    x = 31,224,962,659.50/249,609
  6. Step 6: Final answer
    x = 125,095.50

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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.