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Finding the Fourth Proportional to 249,031.57, 343,663.13 and 135,854.32

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Solution

The fourth proportional to 249,031.57, 343,663.13 and 135,854.32 is: 187,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,031.57 : 343,663.13 = 135,854.32 : x
  2. Step 2: Convert to fraction form
    249,031.57/343,663.13 = 135,854.32/x
  3. Step 3: Cross multiply
    249,031.57x = 343,663.13 × 135,854.32
  4. Step 4: Simplify right side
    249,031.57x = 46,688,118,437.63
  5. Step 5: Solve for x
    x = 46,688,118,437.63/249,031.57
  6. Step 6: Final answer
    x = 187,478.72

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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.