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Finding the Fourth Proportional to 76,802.40, 115,086.72 and 56,988

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Solution

The fourth proportional to 76,802.40, 115,086.72 and 56,988 is: 85,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802.40 : 115,086.72 = 56,988 : x
  2. Step 2: Convert to fraction form
    76,802.40/115,086.72 = 56,988/x
  3. Step 3: Cross multiply
    76,802.40x = 115,086.72 × 56,988
  4. Step 4: Simplify right side
    76,802.40x = 6,558,561,999.36
  5. Step 5: Solve for x
    x = 6,558,561,999.36/76,802.40
  6. Step 6: Final answer
    x = 85,395.27

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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.