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Finding the Fourth Proportional to 249,508.74, 344,321.71 and 142,078.77

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Solution

The fourth proportional to 249,508.74, 344,321.71 and 142,078.77 is: 196,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,508.74 : 344,321.71 = 142,078.77 : x
  2. Step 2: Convert to fraction form
    249,508.74/344,321.71 = 142,078.77/x
  3. Step 3: Cross multiply
    249,508.74x = 344,321.71 × 142,078.77
  4. Step 4: Simplify right side
    249,508.74x = 48,920,804,516.69
  5. Step 5: Solve for x
    x = 48,920,804,516.69/249,508.74
  6. Step 6: Final answer
    x = 196,068.50

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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.