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Finding the Fourth Proportional to 191,415.69, 287,188.47 and 84,785.32

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Solution

The fourth proportional to 191,415.69, 287,188.47 and 84,785.32 is: 127,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,415.69 : 287,188.47 = 84,785.32 : x
  2. Step 2: Convert to fraction form
    191,415.69/287,188.47 = 84,785.32/x
  3. Step 3: Cross multiply
    191,415.69x = 287,188.47 × 84,785.32
  4. Step 4: Simplify right side
    191,415.69x = 24,349,365,072.81
  5. Step 5: Solve for x
    x = 24,349,365,072.81/191,415.69
  6. Step 6: Final answer
    x = 127,206.74

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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.