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Finding the Fourth Proportional to 102,189.60, 153,543.60 and 90,784.80

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Solution

The fourth proportional to 102,189.60, 153,543.60 and 90,784.80 is: 136,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,189.60 : 153,543.60 = 90,784.80 : x
  2. Step 2: Convert to fraction form
    102,189.60/153,543.60 = 90,784.80/x
  3. Step 3: Cross multiply
    102,189.60x = 153,543.60 × 90,784.80
  4. Step 4: Simplify right side
    102,189.60x = 13,939,425,017.28
  5. Step 5: Solve for x
    x = 13,939,425,017.28/102,189.60
  6. Step 6: Final answer
    x = 136,407.47

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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.