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Finding the Fourth Proportional to 102,094.64, 153,129.80 and 27,220.40

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Solution

The fourth proportional to 102,094.64, 153,129.80 and 27,220.40 is: 40,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.64 : 153,129.80 = 27,220.40 : x
  2. Step 2: Convert to fraction form
    102,094.64/153,129.80 = 27,220.40/x
  3. Step 3: Cross multiply
    102,094.64x = 153,129.80 × 27,220.40
  4. Step 4: Simplify right side
    102,094.64x = 4,168,254,407.92
  5. Step 5: Solve for x
    x = 4,168,254,407.92/102,094.64
  6. Step 6: Final answer
    x = 40,827.36

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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.