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Finding the Fourth Proportional to 189,442.44, 283,892.76 and 139,127.76

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Solution

The fourth proportional to 189,442.44, 283,892.76 and 139,127.76 is: 208,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,442.44 : 283,892.76 = 139,127.76 : x
  2. Step 2: Convert to fraction form
    189,442.44/283,892.76 = 139,127.76/x
  3. Step 3: Cross multiply
    189,442.44x = 283,892.76 × 139,127.76
  4. Step 4: Simplify right side
    189,442.44x = 39,497,363,779.02
  5. Step 5: Solve for x
    x = 39,497,363,779.02/189,442.44
  6. Step 6: Final answer
    x = 208,492.69

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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.