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Finding the Fourth Proportional to 51,440, 70,987.20 and 29,088.32

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Solution

The fourth proportional to 51,440, 70,987.20 and 29,088.32 is: 40,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,440 : 70,987.20 = 29,088.32 : x
  2. Step 2: Convert to fraction form
    51,440/70,987.20 = 29,088.32/x
  3. Step 3: Cross multiply
    51,440x = 70,987.20 × 29,088.32
  4. Step 4: Simplify right side
    51,440x = 2,064,898,389.50
  5. Step 5: Solve for x
    x = 2,064,898,389.50/51,440
  6. Step 6: Final answer
    x = 40,141.88

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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.