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Finding the Fourth Proportional to 130,278, 179,783.70 and 73,688.16

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Solution

The fourth proportional to 130,278, 179,783.70 and 73,688.16 is: 101,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,278 : 179,783.70 = 73,688.16 : x
  2. Step 2: Convert to fraction form
    130,278/179,783.70 = 73,688.16/x
  3. Step 3: Cross multiply
    130,278x = 179,783.70 × 73,688.16
  4. Step 4: Simplify right side
    130,278x = 13,247,930,050.99
  5. Step 5: Solve for x
    x = 13,247,930,050.99/130,278
  6. Step 6: Final answer
    x = 101,689.69

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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.