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Finding the Fourth Proportional to 249,289, 344,020.50 and 136,113.16

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Solution

The fourth proportional to 249,289, 344,020.50 and 136,113.16 is: 187,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,289 : 344,020.50 = 136,113.16 : x
  2. Step 2: Convert to fraction form
    249,289/344,020.50 = 136,113.16/x
  3. Step 3: Cross multiply
    249,289x = 344,020.50 × 136,113.16
  4. Step 4: Simplify right side
    249,289x = 46,825,717,359.78
  5. Step 5: Solve for x
    x = 46,825,717,359.78/249,289
  6. Step 6: Final answer
    x = 187,837.08

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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.