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Finding the Fourth Proportional to 243,751.12, 365,603.64 and 77,509.84

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Solution

The fourth proportional to 243,751.12, 365,603.64 and 77,509.84 is: 116,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,751.12 : 365,603.64 = 77,509.84 : x
  2. Step 2: Convert to fraction form
    243,751.12/365,603.64 = 77,509.84/x
  3. Step 3: Cross multiply
    243,751.12x = 365,603.64 × 77,509.84
  4. Step 4: Simplify right side
    243,751.12x = 28,337,879,639.82
  5. Step 5: Solve for x
    x = 28,337,879,639.82/243,751.12
  6. Step 6: Final answer
    x = 116,257.43

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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.