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Finding the Fourth Proportional to 145,987.94, 218,962.96 and 46,158.21

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Solution

The fourth proportional to 145,987.94, 218,962.96 and 46,158.21 is: 69,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,987.94 : 218,962.96 = 46,158.21 : x
  2. Step 2: Convert to fraction form
    145,987.94/218,962.96 = 46,158.21/x
  3. Step 3: Cross multiply
    145,987.94x = 218,962.96 × 46,158.21
  4. Step 4: Simplify right side
    145,987.94x = 10,106,938,174.51
  5. Step 5: Solve for x
    x = 10,106,938,174.51/145,987.94
  6. Step 6: Final answer
    x = 69,231.32

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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.