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Finding the Fourth Proportional to 255,782.16, 383,718.60 and 78,285.24

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Solution

The fourth proportional to 255,782.16, 383,718.60 and 78,285.24 is: 117,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,782.16 : 383,718.60 = 78,285.24 : x
  2. Step 2: Convert to fraction form
    255,782.16/383,718.60 = 78,285.24/x
  3. Step 3: Cross multiply
    255,782.16x = 383,718.60 × 78,285.24
  4. Step 4: Simplify right side
    255,782.16x = 30,039,502,693.46
  5. Step 5: Solve for x
    x = 30,039,502,693.46/255,782.16
  6. Step 6: Final answer
    x = 117,441.74

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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.