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Finding the Fourth Proportional to 77,762.64, 116,658.48 and 53,847.60

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Solution

The fourth proportional to 77,762.64, 116,658.48 and 53,847.60 is: 80,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762.64 : 116,658.48 = 53,847.60 : x
  2. Step 2: Convert to fraction form
    77,762.64/116,658.48 = 53,847.60/x
  3. Step 3: Cross multiply
    77,762.64x = 116,658.48 × 53,847.60
  4. Step 4: Simplify right side
    77,762.64x = 6,281,779,167.65
  5. Step 5: Solve for x
    x = 6,281,779,167.65/77,762.64
  6. Step 6: Final answer
    x = 80,781.45

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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.