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Finding the Fourth Proportional to 161,775.40, 242,663.10 and 56,580.70

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Solution

The fourth proportional to 161,775.40, 242,663.10 and 56,580.70 is: 84,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,775.40 : 242,663.10 = 56,580.70 : x
  2. Step 2: Convert to fraction form
    161,775.40/242,663.10 = 56,580.70/x
  3. Step 3: Cross multiply
    161,775.40x = 242,663.10 × 56,580.70
  4. Step 4: Simplify right side
    161,775.40x = 13,730,048,062.17
  5. Step 5: Solve for x
    x = 13,730,048,062.17/161,775.40
  6. Step 6: Final answer
    x = 84,871.05

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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.