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Finding the Fourth Proportional to 102,515.02, 153,798.43 and 28,643.02

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Solution

The fourth proportional to 102,515.02, 153,798.43 and 28,643.02 is: 42,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.02 : 153,798.43 = 28,643.02 : x
  2. Step 2: Convert to fraction form
    102,515.02/153,798.43 = 28,643.02/x
  3. Step 3: Cross multiply
    102,515.02x = 153,798.43 × 28,643.02
  4. Step 4: Simplify right side
    102,515.02x = 4,405,251,506.46
  5. Step 5: Solve for x
    x = 4,405,251,506.46/102,515.02
  6. Step 6: Final answer
    x = 42,971.77

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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.