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Finding the Fourth Proportional to 151,477.84, 209,014.74 and 87,803.20

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Solution

The fourth proportional to 151,477.84, 209,014.74 and 87,803.20 is: 121,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,477.84 : 209,014.74 = 87,803.20 : x
  2. Step 2: Convert to fraction form
    151,477.84/209,014.74 = 87,803.20/x
  3. Step 3: Cross multiply
    151,477.84x = 209,014.74 × 87,803.20
  4. Step 4: Simplify right side
    151,477.84x = 18,352,163,019.17
  5. Step 5: Solve for x
    x = 18,352,163,019.17/151,477.84
  6. Step 6: Final answer
    x = 121,154.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.