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Finding the Fourth Proportional to 255,312.34, 382,968.95 and 105,388.02

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Solution

The fourth proportional to 255,312.34, 382,968.95 and 105,388.02 is: 158,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,312.34 : 382,968.95 = 105,388.02 : x
  2. Step 2: Convert to fraction form
    255,312.34/382,968.95 = 105,388.02/x
  3. Step 3: Cross multiply
    255,312.34x = 382,968.95 × 105,388.02
  4. Step 4: Simplify right side
    255,312.34x = 40,360,338,835.04
  5. Step 5: Solve for x
    x = 40,360,338,835.04/255,312.34
  6. Step 6: Final answer
    x = 158,082.21

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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.