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Finding the Fourth Proportional to 56,547, 78,035.88 and 31,055.76

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Solution

The fourth proportional to 56,547, 78,035.88 and 31,055.76 is: 42,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,547 : 78,035.88 = 31,055.76 : x
  2. Step 2: Convert to fraction form
    56,547/78,035.88 = 31,055.76/x
  3. Step 3: Cross multiply
    56,547x = 78,035.88 × 31,055.76
  4. Step 4: Simplify right side
    56,547x = 2,423,463,560.67
  5. Step 5: Solve for x
    x = 2,423,463,560.67/56,547
  6. Step 6: Final answer
    x = 42,857.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.