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Finding the Fourth Proportional to 102,886.79, 155,101.34 and 96,028.50

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Solution

The fourth proportional to 102,886.79, 155,101.34 and 96,028.50 is: 144,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,886.79 : 155,101.34 = 96,028.50 : x
  2. Step 2: Convert to fraction form
    102,886.79/155,101.34 = 96,028.50/x
  3. Step 3: Cross multiply
    102,886.79x = 155,101.34 × 96,028.50
  4. Step 4: Simplify right side
    102,886.79x = 14,894,148,271.14
  5. Step 5: Solve for x
    x = 14,894,148,271.14/102,886.79
  6. Step 6: Final answer
    x = 144,762.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.