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Finding the Fourth Proportional to 145,673.23, 218,714.29 and 74,646.91

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Solution

The fourth proportional to 145,673.23, 218,714.29 and 74,646.91 is: 112,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,673.23 : 218,714.29 = 74,646.91 : x
  2. Step 2: Convert to fraction form
    145,673.23/218,714.29 = 74,646.91/x
  3. Step 3: Cross multiply
    145,673.23x = 218,714.29 × 74,646.91
  4. Step 4: Simplify right side
    145,673.23x = 16,326,344,827.77
  5. Step 5: Solve for x
    x = 16,326,344,827.77/145,673.23
  6. Step 6: Final answer
    x = 112,075.12

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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.