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Finding the Fourth Proportional to 191,509.16, 287,258.27 and 51,267.78

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Solution

The fourth proportional to 191,509.16, 287,258.27 and 51,267.78 is: 76,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,509.16 : 287,258.27 = 51,267.78 : x
  2. Step 2: Convert to fraction form
    191,509.16/287,258.27 = 51,267.78/x
  3. Step 3: Cross multiply
    191,509.16x = 287,258.27 × 51,267.78
  4. Step 4: Simplify right side
    191,509.16x = 14,727,093,533.20
  5. Step 5: Solve for x
    x = 14,727,093,533.20/191,509.16
  6. Step 6: Final answer
    x = 76,900.21

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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.