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Finding the Fourth Proportional to 42,714.88, 63,946.14 and 31,547.40

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Solution

The fourth proportional to 42,714.88, 63,946.14 and 31,547.40 is: 47,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.88 : 63,946.14 = 31,547.40 : x
  2. Step 2: Convert to fraction form
    42,714.88/63,946.14 = 31,547.40/x
  3. Step 3: Cross multiply
    42,714.88x = 63,946.14 × 31,547.40
  4. Step 4: Simplify right side
    42,714.88x = 2,017,334,457.04
  5. Step 5: Solve for x
    x = 2,017,334,457.04/42,714.88
  6. Step 6: Final answer
    x = 47,227.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.