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Finding the Fourth Proportional to 249,643.84, 344,516 and 136,472.64

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Solution

The fourth proportional to 249,643.84, 344,516 and 136,472.64 is: 188,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,643.84 : 344,516 = 136,472.64 : x
  2. Step 2: Convert to fraction form
    249,643.84/344,516 = 136,472.64/x
  3. Step 3: Cross multiply
    249,643.84x = 344,516 × 136,472.64
  4. Step 4: Simplify right side
    249,643.84x = 47,017,008,042.24
  5. Step 5: Solve for x
    x = 47,017,008,042.24/249,643.84
  6. Step 6: Final answer
    x = 188,336.34

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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.