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Finding the Fourth Proportional to 145,059.17, 217,486.69 and 56,237.81

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Solution

The fourth proportional to 145,059.17, 217,486.69 and 56,237.81 is: 84,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,059.17 : 217,486.69 = 56,237.81 : x
  2. Step 2: Convert to fraction form
    145,059.17/217,486.69 = 56,237.81/x
  3. Step 3: Cross multiply
    145,059.17x = 217,486.69 × 56,237.81
  4. Step 4: Simplify right side
    145,059.17x = 12,230,973,921.72
  5. Step 5: Solve for x
    x = 12,230,973,921.72/145,059.17
  6. Step 6: Final answer
    x = 84,317.14

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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.