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Finding the Fourth Proportional to 86,802.04, 130,159.86 and 40,015

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Solution

The fourth proportional to 86,802.04, 130,159.86 and 40,015 is: 60,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,802.04 : 130,159.86 = 40,015 : x
  2. Step 2: Convert to fraction form
    86,802.04/130,159.86 = 40,015/x
  3. Step 3: Cross multiply
    86,802.04x = 130,159.86 × 40,015
  4. Step 4: Simplify right side
    86,802.04x = 5,208,346,797.90
  5. Step 5: Solve for x
    x = 5,208,346,797.90/86,802.04
  6. Step 6: Final answer
    x = 60,002.59

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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.