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Finding the Fourth Proportional to 77,622.42, 116,396.76 and 35,490

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Solution

The fourth proportional to 77,622.42, 116,396.76 and 35,490 is: 53,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,622.42 : 116,396.76 = 35,490 : x
  2. Step 2: Convert to fraction form
    77,622.42/116,396.76 = 35,490/x
  3. Step 3: Cross multiply
    77,622.42x = 116,396.76 × 35,490
  4. Step 4: Simplify right side
    77,622.42x = 4,130,921,012.40
  5. Step 5: Solve for x
    x = 4,130,921,012.40/77,622.42
  6. Step 6: Final answer
    x = 53,218.14

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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.