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Finding the Fourth Proportional to 77,730.80, 116,509.80 and 42,695.60

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Solution

The fourth proportional to 77,730.80, 116,509.80 and 42,695.60 is: 63,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,730.80 : 116,509.80 = 42,695.60 : x
  2. Step 2: Convert to fraction form
    77,730.80/116,509.80 = 42,695.60/x
  3. Step 3: Cross multiply
    77,730.80x = 116,509.80 × 42,695.60
  4. Step 4: Simplify right side
    77,730.80x = 4,974,455,816.88
  5. Step 5: Solve for x
    x = 4,974,455,816.88/77,730.80
  6. Step 6: Final answer
    x = 63,995.94

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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.