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Finding the Fourth Proportional to 255,101.60, 382,652.40 and 161,712.80

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Solution

The fourth proportional to 255,101.60, 382,652.40 and 161,712.80 is: 242,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,101.60 : 382,652.40 = 161,712.80 : x
  2. Step 2: Convert to fraction form
    255,101.60/382,652.40 = 161,712.80/x
  3. Step 3: Cross multiply
    255,101.60x = 382,652.40 × 161,712.80
  4. Step 4: Simplify right side
    255,101.60x = 61,879,791,030.72
  5. Step 5: Solve for x
    x = 61,879,791,030.72/255,101.60
  6. Step 6: Final answer
    x = 242,569.20

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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.