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Finding the Fourth Proportional to 102,538.40, 153,807.60 and 77,655.20

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Solution

The fourth proportional to 102,538.40, 153,807.60 and 77,655.20 is: 116,482.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538.40 : 153,807.60 = 77,655.20 : x
  2. Step 2: Convert to fraction form
    102,538.40/153,807.60 = 77,655.20/x
  3. Step 3: Cross multiply
    102,538.40x = 153,807.60 × 77,655.20
  4. Step 4: Simplify right side
    102,538.40x = 11,943,959,939.52
  5. Step 5: Solve for x
    x = 11,943,959,939.52/102,538.40
  6. Step 6: Final answer
    x = 116,482.80

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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.