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Finding the Fourth Proportional to 153,835.61, 212,303.78 and 85,865.81

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Solution

The fourth proportional to 153,835.61, 212,303.78 and 85,865.81 is: 118,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,835.61 : 212,303.78 = 85,865.81 : x
  2. Step 2: Convert to fraction form
    153,835.61/212,303.78 = 85,865.81/x
  3. Step 3: Cross multiply
    153,835.61x = 212,303.78 × 85,865.81
  4. Step 4: Simplify right side
    153,835.61x = 18,229,634,544.91
  5. Step 5: Solve for x
    x = 18,229,634,544.91/153,835.61
  6. Step 6: Final answer
    x = 118,500.75

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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.