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Finding the Fourth Proportional to 286,076.81, 429,115.32 and 99,088.31

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Solution

The fourth proportional to 286,076.81, 429,115.32 and 99,088.31 is: 148,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,076.81 : 429,115.32 = 99,088.31 : x
  2. Step 2: Convert to fraction form
    286,076.81/429,115.32 = 99,088.31/x
  3. Step 3: Cross multiply
    286,076.81x = 429,115.32 × 99,088.31
  4. Step 4: Simplify right side
    286,076.81x = 42,520,312,926.70
  5. Step 5: Solve for x
    x = 42,520,312,926.70/286,076.81
  6. Step 6: Final answer
    x = 148,632.50

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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.