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Finding the Fourth Proportional to 129,590, 178,911.96 and 84,955.76

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Solution

The fourth proportional to 129,590, 178,911.96 and 84,955.76 is: 117,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590 : 178,911.96 = 84,955.76 : x
  2. Step 2: Convert to fraction form
    129,590/178,911.96 = 84,955.76/x
  3. Step 3: Cross multiply
    129,590x = 178,911.96 × 84,955.76
  4. Step 4: Simplify right side
    129,590x = 15,199,601,534.89
  5. Step 5: Solve for x
    x = 15,199,601,534.89/129,590
  6. Step 6: Final answer
    x = 117,289.93

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1.5x scale

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.