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Finding the Fourth Proportional to 145,877.32, 218,816 and 46,045.32

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Solution

The fourth proportional to 145,877.32, 218,816 and 46,045.32 is: 69,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877.32 : 218,816 = 46,045.32 : x
  2. Step 2: Convert to fraction form
    145,877.32/218,816 = 46,045.32/x
  3. Step 3: Cross multiply
    145,877.32x = 218,816 × 46,045.32
  4. Step 4: Simplify right side
    145,877.32x = 10,075,452,741.12
  5. Step 5: Solve for x
    x = 10,075,452,741.12/145,877.32
  6. Step 6: Final answer
    x = 69,067.99

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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.