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Finding the Fourth Proportional to 255,386.32, 383,075.93 and 87,023.97

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Solution

The fourth proportional to 255,386.32, 383,075.93 and 87,023.97 is: 130,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,386.32 : 383,075.93 = 87,023.97 : x
  2. Step 2: Convert to fraction form
    255,386.32/383,075.93 = 87,023.97/x
  3. Step 3: Cross multiply
    255,386.32x = 383,075.93 × 87,023.97
  4. Step 4: Simplify right side
    255,386.32x = 33,336,788,457.60
  5. Step 5: Solve for x
    x = 33,336,788,457.60/255,386.32
  6. Step 6: Final answer
    x = 130,534.75

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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.