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Finding the Fourth Proportional to 77,477.80, 106,970.50 and 59,540.20

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Solution

The fourth proportional to 77,477.80, 106,970.50 and 59,540.20 is: 82,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.80 : 106,970.50 = 59,540.20 : x
  2. Step 2: Convert to fraction form
    77,477.80/106,970.50 = 59,540.20/x
  3. Step 3: Cross multiply
    77,477.80x = 106,970.50 × 59,540.20
  4. Step 4: Simplify right side
    77,477.80x = 6,369,044,964.10
  5. Step 5: Solve for x
    x = 6,369,044,964.10/77,477.80
  6. Step 6: Final answer
    x = 82,204.77

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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.