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Finding the Fourth Proportional to 102,110.82, 153,072.81 and 42,950.64

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Solution

The fourth proportional to 102,110.82, 153,072.81 and 42,950.64 is: 64,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.82 : 153,072.81 = 42,950.64 : x
  2. Step 2: Convert to fraction form
    102,110.82/153,072.81 = 42,950.64/x
  3. Step 3: Cross multiply
    102,110.82x = 153,072.81 × 42,950.64
  4. Step 4: Simplify right side
    102,110.82x = 6,574,575,156.10
  5. Step 5: Solve for x
    x = 6,574,575,156.10/102,110.82
  6. Step 6: Final answer
    x = 64,386.66

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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.