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Finding the Fourth Proportional to 189,495, 284,421.24 and 139,422.60

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Solution

The fourth proportional to 189,495, 284,421.24 and 139,422.60 is: 209,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,495 : 284,421.24 = 139,422.60 : x
  2. Step 2: Convert to fraction form
    189,495/284,421.24 = 139,422.60/x
  3. Step 3: Cross multiply
    189,495x = 284,421.24 × 139,422.60
  4. Step 4: Simplify right side
    189,495x = 39,654,748,776.02
  5. Step 5: Solve for x
    x = 39,654,748,776.02/189,495
  6. Step 6: Final answer
    x = 209,265.41

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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.