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Finding the Fourth Proportional to 102,594.80, 153,989.40 and 87,820.40

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Solution

The fourth proportional to 102,594.80, 153,989.40 and 87,820.40 is: 131,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.80 : 153,989.40 = 87,820.40 : x
  2. Step 2: Convert to fraction form
    102,594.80/153,989.40 = 87,820.40/x
  3. Step 3: Cross multiply
    102,594.80x = 153,989.40 × 87,820.40
  4. Step 4: Simplify right side
    102,594.80x = 13,523,410,703.76
  5. Step 5: Solve for x
    x = 13,523,410,703.76/102,594.80
  6. Step 6: Final answer
    x = 131,813.80

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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.