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Finding the Fourth Proportional to 255,681.60, 383,577.75 and 97,910.05

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Solution

The fourth proportional to 255,681.60, 383,577.75 and 97,910.05 is: 146,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,681.60 : 383,577.75 = 97,910.05 : x
  2. Step 2: Convert to fraction form
    255,681.60/383,577.75 = 97,910.05/x
  3. Step 3: Cross multiply
    255,681.60x = 383,577.75 × 97,910.05
  4. Step 4: Simplify right side
    255,681.60x = 37,556,116,681.39
  5. Step 5: Solve for x
    x = 37,556,116,681.39/255,681.60
  6. Step 6: Final answer
    x = 146,886.27

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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.