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Finding the Fourth Proportional to 255,954.72, 383,956.69 and 78,430.47

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Solution

The fourth proportional to 255,954.72, 383,956.69 and 78,430.47 is: 117,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,954.72 : 383,956.69 = 78,430.47 : x
  2. Step 2: Convert to fraction form
    255,954.72/383,956.69 = 78,430.47/x
  3. Step 3: Cross multiply
    255,954.72x = 383,956.69 × 78,430.47
  4. Step 4: Simplify right side
    255,954.72x = 30,113,903,656.34
  5. Step 5: Solve for x
    x = 30,113,903,656.34/255,954.72
  6. Step 6: Final answer
    x = 117,653.25

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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.