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Finding the Fourth Proportional to 56,878.72, 85,308.36 and 15,316

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Solution

The fourth proportional to 56,878.72, 85,308.36 and 15,316 is: 22,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,878.72 : 85,308.36 = 15,316 : x
  2. Step 2: Convert to fraction form
    56,878.72/85,308.36 = 15,316/x
  3. Step 3: Cross multiply
    56,878.72x = 85,308.36 × 15,316
  4. Step 4: Simplify right side
    56,878.72x = 1,306,582,841.76
  5. Step 5: Solve for x
    x = 1,306,582,841.76/56,878.72
  6. Step 6: Final answer
    x = 22,971.38

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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.