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Finding the Fourth Proportional to 77,143.83, 106,468.34 and 43,154.20

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Solution

The fourth proportional to 77,143.83, 106,468.34 and 43,154.20 is: 59,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,143.83 : 106,468.34 = 43,154.20 : x
  2. Step 2: Convert to fraction form
    77,143.83/106,468.34 = 43,154.20/x
  3. Step 3: Cross multiply
    77,143.83x = 106,468.34 × 43,154.20
  4. Step 4: Simplify right side
    77,143.83x = 4,594,556,038.03
  5. Step 5: Solve for x
    x = 4,594,556,038.03/77,143.83
  6. Step 6: Final answer
    x = 59,558.31

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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.