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Finding the Fourth Proportional to 235,429.40, 353,165.70 and 77,658.20

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Solution

The fourth proportional to 235,429.40, 353,165.70 and 77,658.20 is: 116,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.40 : 353,165.70 = 77,658.20 : x
  2. Step 2: Convert to fraction form
    235,429.40/353,165.70 = 77,658.20/x
  3. Step 3: Cross multiply
    235,429.40x = 353,165.70 × 77,658.20
  4. Step 4: Simplify right side
    235,429.40x = 27,426,212,563.74
  5. Step 5: Solve for x
    x = 27,426,212,563.74/235,429.40
  6. Step 6: Final answer
    x = 116,494.42

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1.5x scale

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.