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Finding the Fourth Proportional to 249,047.74, 343,684.72 and 135,870.49

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Solution

The fourth proportional to 249,047.74, 343,684.72 and 135,870.49 is: 187,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,047.74 : 343,684.72 = 135,870.49 : x
  2. Step 2: Convert to fraction form
    249,047.74/343,684.72 = 135,870.49/x
  3. Step 3: Cross multiply
    249,047.74x = 343,684.72 × 135,870.49
  4. Step 4: Simplify right side
    249,047.74x = 46,696,611,311.91
  5. Step 5: Solve for x
    x = 46,696,611,311.91/249,047.74
  6. Step 6: Final answer
    x = 187,500.64

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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.