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Finding the Fourth Proportional to 145,157.35, 217,749.72 and 56,417.65

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Solution

The fourth proportional to 145,157.35, 217,749.72 and 56,417.65 is: 84,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,157.35 : 217,749.72 = 56,417.65 : x
  2. Step 2: Convert to fraction form
    145,157.35/217,749.72 = 56,417.65/x
  3. Step 3: Cross multiply
    145,157.35x = 217,749.72 × 56,417.65
  4. Step 4: Simplify right side
    145,157.35x = 12,284,927,490.56
  5. Step 5: Solve for x
    x = 12,284,927,490.56/145,157.35
  6. Step 6: Final answer
    x = 84,631.80

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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.