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Finding the Fourth Proportional to 249,143.52, 343,862.64 and 148,548

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Solution

The fourth proportional to 249,143.52, 343,862.64 and 148,548 is: 205,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,143.52 : 343,862.64 = 148,548 : x
  2. Step 2: Convert to fraction form
    249,143.52/343,862.64 = 148,548/x
  3. Step 3: Cross multiply
    249,143.52x = 343,862.64 × 148,548
  4. Step 4: Simplify right side
    249,143.52x = 51,080,107,446.72
  5. Step 5: Solve for x
    x = 51,080,107,446.72/249,143.52
  6. Step 6: Final answer
    x = 205,022.82

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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.