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Finding the Fourth Proportional to 89,686.80, 134,530.20 and 56,509.20

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Solution

The fourth proportional to 89,686.80, 134,530.20 and 56,509.20 is: 84,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,686.80 : 134,530.20 = 56,509.20 : x
  2. Step 2: Convert to fraction form
    89,686.80/134,530.20 = 56,509.20/x
  3. Step 3: Cross multiply
    89,686.80x = 134,530.20 × 56,509.20
  4. Step 4: Simplify right side
    89,686.80x = 7,602,193,977.84
  5. Step 5: Solve for x
    x = 7,602,193,977.84/89,686.80
  6. Step 6: Final answer
    x = 84,763.80

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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.