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Finding the Fourth Proportional to 143,835, 215,752.65 and 77,695.67

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Solution

The fourth proportional to 143,835, 215,752.65 and 77,695.67 is: 116,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,835 : 215,752.65 = 77,695.67 : x
  2. Step 2: Convert to fraction form
    143,835/215,752.65 = 77,695.67/x
  3. Step 3: Cross multiply
    143,835x = 215,752.65 × 77,695.67
  4. Step 4: Simplify right side
    143,835x = 16,763,045,617.26
  5. Step 5: Solve for x
    x = 16,763,045,617.26/143,835
  6. Step 6: Final answer
    x = 116,543.58

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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.