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Finding the Fourth Proportional to 85,714.79, 128,580.63 and 29,547.50

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Solution

The fourth proportional to 85,714.79, 128,580.63 and 29,547.50 is: 44,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.79 : 128,580.63 = 29,547.50 : x
  2. Step 2: Convert to fraction form
    85,714.79/128,580.63 = 29,547.50/x
  3. Step 3: Cross multiply
    85,714.79x = 128,580.63 × 29,547.50
  4. Step 4: Simplify right side
    85,714.79x = 3,799,236,486.38
  5. Step 5: Solve for x
    x = 3,799,236,486.38/85,714.79
  6. Step 6: Final answer
    x = 44,324.17

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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.