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Finding the Fourth Proportional to 161,699.56, 242,439.66 and 56,461

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Solution

The fourth proportional to 161,699.56, 242,439.66 and 56,461 is: 84,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,699.56 : 242,439.66 = 56,461 : x
  2. Step 2: Convert to fraction form
    161,699.56/242,439.66 = 56,461/x
  3. Step 3: Cross multiply
    161,699.56x = 242,439.66 × 56,461
  4. Step 4: Simplify right side
    161,699.56x = 13,688,385,643.26
  5. Step 5: Solve for x
    x = 13,688,385,643.26/161,699.56
  6. Step 6: Final answer
    x = 84,653.20

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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.