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Finding the Fourth Proportional to 249,332, 344,103.06 and 148,730

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Solution

The fourth proportional to 249,332, 344,103.06 and 148,730 is: 205,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,332 : 344,103.06 = 148,730 : x
  2. Step 2: Convert to fraction form
    249,332/344,103.06 = 148,730/x
  3. Step 3: Cross multiply
    249,332x = 344,103.06 × 148,730
  4. Step 4: Simplify right side
    249,332x = 51,178,448,113.80
  5. Step 5: Solve for x
    x = 51,178,448,113.80/249,332
  6. Step 6: Final answer
    x = 205,262.25

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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.