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Finding the Fourth Proportional to 99,455.34, 137,213.76 and 56,429.76

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Solution

The fourth proportional to 99,455.34, 137,213.76 and 56,429.76 is: 77,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,455.34 : 137,213.76 = 56,429.76 : x
  2. Step 2: Convert to fraction form
    99,455.34/137,213.76 = 56,429.76/x
  3. Step 3: Cross multiply
    99,455.34x = 137,213.76 × 56,429.76
  4. Step 4: Simplify right side
    99,455.34x = 7,742,939,545.50
  5. Step 5: Solve for x
    x = 7,742,939,545.50/99,455.34
  6. Step 6: Final answer
    x = 77,853.43

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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.