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Finding the Fourth Proportional to 102,907.60, 154,361.40 and 96,686.80

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Solution

The fourth proportional to 102,907.60, 154,361.40 and 96,686.80 is: 145,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.60 : 154,361.40 = 96,686.80 : x
  2. Step 2: Convert to fraction form
    102,907.60/154,361.40 = 96,686.80/x
  3. Step 3: Cross multiply
    102,907.60x = 154,361.40 × 96,686.80
  4. Step 4: Simplify right side
    102,907.60x = 14,924,709,809.52
  5. Step 5: Solve for x
    x = 14,924,709,809.52/102,907.60
  6. Step 6: Final answer
    x = 145,030.20

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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.