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Finding the Fourth Proportional to 141,530.70, 195,312.70 and 77,872.60

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Solution

The fourth proportional to 141,530.70, 195,312.70 and 77,872.60 is: 107,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,530.70 : 195,312.70 = 77,872.60 : x
  2. Step 2: Convert to fraction form
    141,530.70/195,312.70 = 77,872.60/x
  3. Step 3: Cross multiply
    141,530.70x = 195,312.70 × 77,872.60
  4. Step 4: Simplify right side
    141,530.70x = 15,209,507,762.02
  5. Step 5: Solve for x
    x = 15,209,507,762.02/141,530.70
  6. Step 6: Final answer
    x = 107,464.37

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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.