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Finding the Fourth Proportional to 255,802.56, 353,009.88 and 141,085.68

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Solution

The fourth proportional to 255,802.56, 353,009.88 and 141,085.68 is: 194,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,802.56 : 353,009.88 = 141,085.68 : x
  2. Step 2: Convert to fraction form
    255,802.56/353,009.88 = 141,085.68/x
  3. Step 3: Cross multiply
    255,802.56x = 353,009.88 × 141,085.68
  4. Step 4: Simplify right side
    255,802.56x = 49,804,638,966.52
  5. Step 5: Solve for x
    x = 49,804,638,966.52/255,802.56
  6. Step 6: Final answer
    x = 194,699.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.