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Finding the Fourth Proportional to 249,017.28, 343,643.52 and 135,840

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Solution

The fourth proportional to 249,017.28, 343,643.52 and 135,840 is: 187,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,017.28 : 343,643.52 = 135,840 : x
  2. Step 2: Convert to fraction form
    249,017.28/343,643.52 = 135,840/x
  3. Step 3: Cross multiply
    249,017.28x = 343,643.52 × 135,840
  4. Step 4: Simplify right side
    249,017.28x = 46,680,535,756.80
  5. Step 5: Solve for x
    x = 46,680,535,756.80/249,017.28
  6. Step 6: Final answer
    x = 187,459.02

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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.