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Finding the Fourth Proportional to 255,931.60, 383,926.20 and 78,437.20

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Solution

The fourth proportional to 255,931.60, 383,926.20 and 78,437.20 is: 117,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,931.60 : 383,926.20 = 78,437.20 : x
  2. Step 2: Convert to fraction form
    255,931.60/383,926.20 = 78,437.20/x
  3. Step 3: Cross multiply
    255,931.60x = 383,926.20 × 78,437.20
  4. Step 4: Simplify right side
    255,931.60x = 30,114,096,134.64
  5. Step 5: Solve for x
    x = 30,114,096,134.64/255,931.60
  6. Step 6: Final answer
    x = 117,664.63

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1.5x scale

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.