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Finding the Fourth Proportional to 116,420.52, 160,658.16 and 64,740.80

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Solution

The fourth proportional to 116,420.52, 160,658.16 and 64,740.80 is: 89,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,420.52 : 160,658.16 = 64,740.80 : x
  2. Step 2: Convert to fraction form
    116,420.52/160,658.16 = 64,740.80/x
  3. Step 3: Cross multiply
    116,420.52x = 160,658.16 × 64,740.80
  4. Step 4: Simplify right side
    116,420.52x = 10,401,137,804.93
  5. Step 5: Solve for x
    x = 10,401,137,804.93/116,420.52
  6. Step 6: Final answer
    x = 89,341.10

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1.5x scale

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.