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Finding the Fourth Proportional to 64,547.04, 96,840 and 20,178.48

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Solution

The fourth proportional to 64,547.04, 96,840 and 20,178.48 is: 30,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,547.04 : 96,840 = 20,178.48 : x
  2. Step 2: Convert to fraction form
    64,547.04/96,840 = 20,178.48/x
  3. Step 3: Cross multiply
    64,547.04x = 96,840 × 20,178.48
  4. Step 4: Simplify right side
    64,547.04x = 1,954,084,003.20
  5. Step 5: Solve for x
    x = 1,954,084,003.20/64,547.04
  6. Step 6: Final answer
    x = 30,273.80

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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.