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Finding the Fourth Proportional to 249,641.64, 344,479.50 and 142,189.20

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Solution

The fourth proportional to 249,641.64, 344,479.50 and 142,189.20 is: 196,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,641.64 : 344,479.50 = 142,189.20 : x
  2. Step 2: Convert to fraction form
    249,641.64/344,479.50 = 142,189.20/x
  3. Step 3: Cross multiply
    249,641.64x = 344,479.50 × 142,189.20
  4. Step 4: Simplify right side
    249,641.64x = 48,981,264,521.40
  5. Step 5: Solve for x
    x = 48,981,264,521.40/249,641.64
  6. Step 6: Final answer
    x = 196,206.31

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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.