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Finding the Fourth Proportional to 249,060.32, 343,712.88 and 141,640.16

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Solution

The fourth proportional to 249,060.32, 343,712.88 and 141,640.16 is: 195,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,060.32 : 343,712.88 = 141,640.16 : x
  2. Step 2: Convert to fraction form
    249,060.32/343,712.88 = 141,640.16/x
  3. Step 3: Cross multiply
    249,060.32x = 343,712.88 × 141,640.16
  4. Step 4: Simplify right side
    249,060.32x = 48,683,547,317.26
  5. Step 5: Solve for x
    x = 48,683,547,317.26/249,060.32
  6. Step 6: Final answer
    x = 195,468.90

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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.