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Finding the Fourth Proportional to 153,453.76, 211,752.64 and 85,465.60

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Solution

The fourth proportional to 153,453.76, 211,752.64 and 85,465.60 is: 117,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,453.76 : 211,752.64 = 85,465.60 : x
  2. Step 2: Convert to fraction form
    153,453.76/211,752.64 = 85,465.60/x
  3. Step 3: Cross multiply
    153,453.76x = 211,752.64 × 85,465.60
  4. Step 4: Simplify right side
    153,453.76x = 18,097,566,429.18
  5. Step 5: Solve for x
    x = 18,097,566,429.18/153,453.76
  6. Step 6: Final answer
    x = 117,934.98

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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.