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Finding the Fourth Proportional to 189,528, 284,293.44 and 64,870.08

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Solution

The fourth proportional to 189,528, 284,293.44 and 64,870.08 is: 97,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,528 : 284,293.44 = 64,870.08 : x
  2. Step 2: Convert to fraction form
    189,528/284,293.44 = 64,870.08/x
  3. Step 3: Cross multiply
    189,528x = 284,293.44 × 64,870.08
  4. Step 4: Simplify right side
    189,528x = 18,442,138,196.28
  5. Step 5: Solve for x
    x = 18,442,138,196.28/189,528
  6. Step 6: Final answer
    x = 97,305.61

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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.