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Finding the Fourth Proportional to 133,899.12, 184,773.84 and 77,307.12

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Solution

The fourth proportional to 133,899.12, 184,773.84 and 77,307.12 is: 106,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,899.12 : 184,773.84 = 77,307.12 : x
  2. Step 2: Convert to fraction form
    133,899.12/184,773.84 = 77,307.12/x
  3. Step 3: Cross multiply
    133,899.12x = 184,773.84 × 77,307.12
  4. Step 4: Simplify right side
    133,899.12x = 14,284,333,421.74
  5. Step 5: Solve for x
    x = 14,284,333,421.74/133,899.12
  6. Step 6: Final answer
    x = 106,679.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.