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Finding the Fourth Proportional to 102,009.56, 153,038.96 and 35,440

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Solution

The fourth proportional to 102,009.56, 153,038.96 and 35,440 is: 53,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.56 : 153,038.96 = 35,440 : x
  2. Step 2: Convert to fraction form
    102,009.56/153,038.96 = 35,440/x
  3. Step 3: Cross multiply
    102,009.56x = 153,038.96 × 35,440
  4. Step 4: Simplify right side
    102,009.56x = 5,423,700,742.40
  5. Step 5: Solve for x
    x = 5,423,700,742.40/102,009.56
  6. Step 6: Final answer
    x = 53,168.55

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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.